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Two numbers A and B are such that the su...

Two numbers A and B are such that the sum of 5 % of A and 4% of B is `2/3` rd of the sum of 6% of A and 8% of B. The ratio A:B in

A

`4:3`

B

`3:4`

C

`1 : 1`

D

`2:3`

Text Solution

Verified by Experts

The correct Answer is:
A
`((5A)/(100) + (4B)/(100)) = ((6A)/(100) + (8B)/(100)) 2/3`
`implies (5A + 4B) xx 3 = (6A = 6B) xx 2`
`implies 15 A + 12 B = 12 A + 16 B`
`implies 3A = 4B`
`implies A/B = 4/3 `
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